
Time bar (total: 3.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 335.0ms | 8 223× | 0 | valid |
| 1.0ms | 9× | 3 | valid |
| 1.0ms | 16× | 1 | valid |
| 1.0ms | 8× | 2 | valid |
ival-mult: 89.0ms (53.3% of total)ival-sub: 64.0ms (38.4% of total)ival-true: 6.0ms (3.6% of total)exact: 4.0ms (2.4% of total)ival-assert: 3.0ms (1.8% of total)adjust: 1.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 0 | 0 | - | 0 | - | #s(literal 500 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 20.0ms | 512× | 0 | valid |
Compiled 33 to 19 computations (42.4% saved)
ival-sub: 3.0ms (41.7% of total)ival-mult: 3.0ms (41.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 240× | lower-fma.f64 |
| 240× | lower-fma.f32 |
| 144× | lower-*.f32 |
| 142× | lower-*.f64 |
| 64× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 29 |
| 1 | 38 | 25 |
| 2 | 107 | 25 |
| 3 | 298 | 25 |
| 4 | 397 | 25 |
| 5 | 424 | 25 |
| 6 | 433 | 25 |
| 0 | 5 | 5 |
| 0 | 7 | 5 |
| 1 | 10 | 5 |
| 2 | 21 | 5 |
| 3 | 39 | 5 |
| 4 | 61 | 5 |
| 5 | 86 | 5 |
| 6 | 142 | 5 |
| 7 | 211 | 5 |
| 8 | 288 | 5 |
| 9 | 330 | 5 |
| 10 | 362 | 5 |
| 0 | 362 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| Outputs |
|---|
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 240× | lower-fma.f64 |
| 240× | lower-fma.f32 |
| 144× | lower-*.f32 |
| 142× | lower-*.f64 |
| 64× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 11 |
| 0 | 7 | 11 |
| 1 | 10 | 11 |
| 2 | 21 | 11 |
| 3 | 39 | 11 |
| 4 | 61 | 11 |
| 5 | 86 | 11 |
| 6 | 142 | 11 |
| 7 | 211 | 11 |
| 8 | 288 | 11 |
| 9 | 330 | 11 |
| 10 | 362 | 11 |
| 0 | 362 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
#s(literal 500 binary64) |
(-.f64 x y) |
x |
y |
| Outputs |
|---|
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
#s(literal 500 binary64) |
(-.f64 x y) |
x |
y |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.0234375 | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 10.0ms | 256× | 0 | valid |
Compiled 13 to 7 computations (46.2% saved)
ival-mult: 2.0ms (58.9% of total)ival-sub: 1.0ms (29.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -500 y) (taylor 0 x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 500 x) (taylor inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 500 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 500 x) (taylor 0 y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 #s(literal 500 binary64) (-.f64 x y)) (patch (*.f64 #s(literal 500 binary64) (-.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* 500 (- x y)) |
| 0.0ms | x | @ | -inf | (* 500 (- x y)) |
| 0.0ms | y | @ | inf | (* 500 (- x y)) |
| 0.0ms | x | @ | 0 | (* 500 (- x y)) |
| 0.0ms | x | @ | inf | (- x y) |
| 1× | egg-herbie |
| 26 396× | lower-fma.f64 |
| 26 396× | lower-fma.f32 |
| 3 260× | lower-+.f64 |
| 3 260× | lower-+.f32 |
| 2 160× | lower-*.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 207 |
| 1 | 118 | 207 |
| 2 | 314 | 207 |
| 3 | 852 | 171 |
| 4 | 1749 | 171 |
| 5 | 2885 | 171 |
| 6 | 3977 | 171 |
| 7 | 4663 | 171 |
| 8 | 5012 | 171 |
| 9 | 5121 | 171 |
| 10 | 5833 | 171 |
| 11 | 7621 | 171 |
| 0 | 8087 | 171 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -500 y) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(* 500 x) |
(* x (+ 500 (* -500 (/ y x)))) |
(* x (+ 500 (* -500 (/ y x)))) |
(* x (+ 500 (* -500 (/ y x)))) |
(* 500 x) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* 500 x) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(* -500 y) |
(* y (- (* 500 (/ x y)) 500)) |
(* y (- (* 500 (/ x y)) 500)) |
(* y (- (* 500 (/ x y)) 500)) |
(* -500 y) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| Outputs |
|---|
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
| 5 754× | lower-fma.f64 |
| 5 754× | lower-fma.f32 |
| 3 256× | lower-*.f32 |
| 3 254× | lower-*.f64 |
| 3 212× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 23 | 8 |
| 2 | 154 | 8 |
| 3 | 1501 | 8 |
| 0 | 9456 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
(-.f64 x y) |
| Outputs |
|---|
(+.f64 (*.f64 y #s(literal -500 binary64)) (*.f64 #s(literal 500 binary64) x)) |
(+.f64 (*.f64 #s(literal 500 binary64) x) (*.f64 y #s(literal -500 binary64))) |
(-.f64 (*.f64 #s(literal 500 binary64) x) (*.f64 y #s(literal 500 binary64))) |
(-.f64 (*.f64 #s(literal 500 binary64) x) (*.f64 #s(literal 500 binary64) y)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 250000 binary64)) (fma.f64 #s(literal 500 binary64) x (*.f64 y #s(literal 500 binary64)))) (/.f64 (*.f64 (*.f64 y y) #s(literal 250000 binary64)) (fma.f64 #s(literal 500 binary64) x (*.f64 y #s(literal 500 binary64))))) |
(fma.f64 #s(literal 500 binary64) x (*.f64 y #s(literal -500 binary64))) |
(fma.f64 #s(literal 500 binary64) (neg.f64 y) (*.f64 #s(literal 500 binary64) x)) |
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
(fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) |
(fma.f64 (neg.f64 y) #s(literal 500 binary64) (*.f64 #s(literal 500 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y #s(literal 500 binary64)) (*.f64 #s(literal 500 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 500 binary64) y) (*.f64 #s(literal 500 binary64) x)) |
(fma.f64 #s(literal -500 binary64) y (*.f64 #s(literal 500 binary64) x)) |
(/.f64 #s(literal 500 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 500 binary64) (+.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 500 binary64))) |
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(*.f64 (/.f64 (+.f64 x y) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 x x) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 x y) (*.f64 x x)))))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (+.f64 x y)) (/.f64 x (+.f64 x y))) (fma.f64 (*.f64 y y) (*.f64 (/.f64 y (+.f64 x y)) (/.f64 y (+.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))))) |
(*.f64 (*.f64 (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 x y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y))) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))))) (fma.f64 (*.f64 y (+.f64 x y)) (-.f64 (*.f64 y (+.f64 x y)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x)))) (fma.f64 y (+.f64 x y) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (fma.f64 y (+.f64 x y) (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (fma.f64 x x (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1/2 binary64))) |
Compiled 9 640 to 825 computations (91.4% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 292 | 4 | 296 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 292 | 5 | 297 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) |
| ▶ | 100.0% | (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
| ✓ | 100.0% | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| ▶ | 48.4% | #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
| ▶ | 52.5% | #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
Compiled 35 to 25 computations (28.6% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 500 binary64) x) | |
| cost-diff | 192 | (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) | |
| cost-diff | 0 | (*.f64 y #s(literal -500 binary64)) | |
| cost-diff | 192 | (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 500 binary64) x) | |
| cost-diff | 0 | #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -500 binary64) y) | |
| cost-diff | 0 | #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
| 240× | lower-fma.f32 |
| 236× | lower-fma.f64 |
| 144× | lower-*.f32 |
| 138× | lower-*.f64 |
| 64× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 54 |
| 0 | 19 | 52 |
| 1 | 25 | 52 |
| 2 | 34 | 52 |
| 3 | 48 | 52 |
| 4 | 69 | 52 |
| 5 | 94 | 52 |
| 6 | 150 | 52 |
| 7 | 218 | 52 |
| 8 | 294 | 52 |
| 9 | 335 | 52 |
| 10 | 367 | 52 |
| 0 | 367 | 52 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
(*.f64 #s(literal -500 binary64) y) |
#s(literal -500 binary64) |
y |
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
(*.f64 #s(literal 500 binary64) x) |
#s(literal 500 binary64) |
x |
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
x |
#s(literal 500 binary64) |
(*.f64 y #s(literal -500 binary64)) |
y |
#s(literal -500 binary64) |
(fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) |
y |
#s(literal -500 binary64) |
(*.f64 #s(literal 500 binary64) x) |
#s(literal 500 binary64) |
x |
| Outputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) |
(*.f64 #s(literal -500 binary64) y) |
(*.f64 y #s(literal -500 binary64)) |
#s(literal -500 binary64) |
y |
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
(*.f64 #s(literal 500 binary64) x) |
#s(literal 500 binary64) |
x |
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
x |
#s(literal 500 binary64) |
(*.f64 y #s(literal -500 binary64)) |
y |
#s(literal -500 binary64) |
(fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) |
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
y |
#s(literal -500 binary64) |
(*.f64 #s(literal 500 binary64) x) |
#s(literal 500 binary64) |
x |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 500 binary64) x) | |
| accuracy | 0.01171875 | (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) | |
| accuracy | 0 | (*.f64 y #s(literal -500 binary64)) | |
| accuracy | 0.015625 | (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 500 binary64) x) | |
| accuracy | 33.023141959194966 | #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) | |
| accuracy | 0 | (*.f64 #s(literal -500 binary64) y) | |
| accuracy | 30.3858588849809 | #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
| 27.0ms | 256× | 0 | valid |
Compiled 50 to 14 computations (72% saved)
ival-mult: 13.0ms (76.5% of total)ival-add: 2.0ms (11.8% of total)ival-sub: 1.0ms (5.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 500 binary64) x) (patch (*.f64 #s(literal 500 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) (patch (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal -500 binary64)) (patch (*.f64 y #s(literal -500 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -500 y) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 500 x) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 500 x) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 500 x) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -500 y) (* 500 x)) (taylor 0 y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 500 (/ x y)) 500)) (taylor inf y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 500 (* -500 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) (patch #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor inf y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor inf y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor inf y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor inf y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -500 y) (taylor -inf y) (#s(alt (*.f64 #s(literal -500 binary64) y) (patch (*.f64 #s(literal -500 binary64) y) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 500 (* -500 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 500 x) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 500 (/ y x)) 500))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) (patch (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) #<representation binary64>) () ())) ()) |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (* -500 y) |
| 0.0ms | y | @ | inf | (* -500 y) |
| 0.0ms | y | @ | 0 | (* -500 y) |
| 0.0ms | x | @ | 0 | (* 500 x) |
| 0.0ms | x | @ | inf | (* 500 x) |
| 1× | egg-herbie |
| 3 814× | lower-*.f64 |
| 3 814× | lower-*.f32 |
| 3 734× | lower-fma.f64 |
| 3 734× | lower-fma.f32 |
| 2 184× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 684 |
| 1 | 64 | 684 |
| 2 | 167 | 684 |
| 3 | 357 | 612 |
| 4 | 703 | 540 |
| 5 | 2133 | 540 |
| 6 | 3875 | 540 |
| 7 | 5100 | 540 |
| 8 | 5710 | 540 |
| 9 | 6114 | 540 |
| 10 | 6499 | 540 |
| 11 | 6899 | 540 |
| 12 | 7955 | 540 |
| 0 | 8072 | 540 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -500 y) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(* 500 x) |
(* x (+ 500 (* -500 (/ y x)))) |
(* x (+ 500 (* -500 (/ y x)))) |
(* x (+ 500 (* -500 (/ y x)))) |
(* 500 x) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* 500 x) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(* -500 y) |
(* y (- (* 500 (/ x y)) 500)) |
(* y (- (* 500 (/ x y)) 500)) |
(* y (- (* 500 (/ x y)) 500)) |
(* -500 y) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(* 500 x) |
(* x (+ 500 (* -500 (/ y x)))) |
(* x (+ 500 (* -500 (/ y x)))) |
(* x (+ 500 (* -500 (/ y x)))) |
(* 500 x) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* 500 x) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(* -500 y) |
(* y (- (* 500 (/ x y)) 500)) |
(* y (- (* 500 (/ x y)) 500)) |
(* y (- (* 500 (/ x y)) 500)) |
(* -500 y) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* 500 x) |
(* 500 x) |
(* 500 x) |
(* 500 x) |
(* 500 x) |
(* 500 x) |
(* 500 x) |
(* 500 x) |
(* 500 x) |
(* 500 x) |
(* 500 x) |
(* 500 x) |
(* -500 y) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(* 500 x) |
(* x (+ 500 (* -500 (/ y x)))) |
(* x (+ 500 (* -500 (/ y x)))) |
(* x (+ 500 (* -500 (/ y x)))) |
(* 500 x) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* 500 x) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(* -500 y) |
(* y (- (* 500 (/ x y)) 500)) |
(* y (- (* 500 (/ x y)) 500)) |
(* y (- (* 500 (/ x y)) 500)) |
(* -500 y) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* -500 y) |
(* 500 x) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(* -500 y) |
(* y (- (* 500 (/ x y)) 500)) |
(* y (- (* 500 (/ x y)) 500)) |
(* y (- (* 500 (/ x y)) 500)) |
(* -500 y) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(* -500 y) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(+ (* -500 y) (* 500 x)) |
(* 500 x) |
(* x (+ 500 (* -500 (/ y x)))) |
(* x (+ 500 (* -500 (/ y x)))) |
(* x (+ 500 (* -500 (/ y x)))) |
(* 500 x) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
| Outputs |
|---|
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* y (- (* 500 (/ x y)) 500)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* y (+ 500 (* -500 (/ x y))))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -500 y) |
(*.f64 #s(literal -500 binary64) y) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(+ (* -500 y) (* 500 x)) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* x (+ 500 (* -500 (/ y x)))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* 500 x) |
(*.f64 #s(literal 500 binary64) x) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
(* -1 (* x (- (* 500 (/ y x)) 500))) |
(*.f64 #s(literal -500 binary64) (-.f64 y x)) |
| 7 448× | lower-fma.f32 |
| 7 444× | lower-fma.f64 |
| 5 162× | lower-*.f32 |
| 5 156× | lower-*.f64 |
| 2 208× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 39 |
| 0 | 19 | 37 |
| 1 | 65 | 37 |
| 2 | 430 | 37 |
| 3 | 4640 | 37 |
| 0 | 8461 | 37 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
(*.f64 #s(literal -500 binary64) y) |
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
(*.f64 #s(literal 500 binary64) x) |
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
(*.f64 y #s(literal -500 binary64)) |
(fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) |
| Outputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) |
(exp.f64 (log.f64 (*.f64 y #s(literal -500 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -500 binary64))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal 500 binary64) y)) |
(pow.f64 (*.f64 y #s(literal -500 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 500 binary64) (neg.f64 y)) |
(*.f64 y #s(literal -500 binary64)) |
(*.f64 y (exp.f64 (log.f64 #s(literal -500 binary64)))) |
(*.f64 #s(literal -500 binary64) y) |
(*.f64 (neg.f64 y) #s(literal 500 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 500 binary64) y)) |
(*.f64 (exp.f64 (log.f64 #s(literal -500 binary64))) y) |
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
(exp.f64 (log.f64 (*.f64 #s(literal 500 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 500 binary64) x)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 #s(literal 500 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 500 binary64) x) |
(*.f64 x #s(literal 500 binary64)) |
(*.f64 x (exp.f64 (log.f64 #s(literal 500 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 500 binary64))) x) |
(+.f64 (*.f64 #s(literal 500 binary64) x) (*.f64 y #s(literal -500 binary64))) |
(+.f64 (*.f64 y #s(literal -500 binary64)) (*.f64 #s(literal 500 binary64) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 250000 binary64)) (*.f64 #s(literal -500 binary64) (+.f64 x y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 250000 binary64))) (*.f64 #s(literal -500 binary64) (+.f64 x y))))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 250000 binary64))) (*.f64 #s(literal 500 binary64) (+.f64 x y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 250000 binary64)) (*.f64 #s(literal 500 binary64) (+.f64 x y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 500 binary64) (-.f64 x y)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 250000 binary64)) (*.f64 #s(literal -500 binary64) (+.f64 x y))) (/.f64 (*.f64 x (*.f64 x #s(literal 250000 binary64))) (*.f64 #s(literal -500 binary64) (+.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 250000 binary64))) (*.f64 #s(literal 500 binary64) (+.f64 x y))) (/.f64 (*.f64 (*.f64 y y) #s(literal 250000 binary64)) (*.f64 #s(literal 500 binary64) (+.f64 x y)))) |
(fma.f64 #s(literal 500 binary64) x (*.f64 y #s(literal -500 binary64))) |
(fma.f64 #s(literal 500 binary64) (neg.f64 y) (*.f64 #s(literal 500 binary64) x)) |
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(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -125000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125000000 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125000000 binary64)) (*.f64 #s(literal 125000000 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 15625000000000000 binary64))))) (fma.f64 (*.f64 (*.f64 #s(literal 500 binary64) x) (*.f64 #s(literal 500 binary64) (+.f64 x y))) (-.f64 (*.f64 (*.f64 #s(literal 500 binary64) x) (*.f64 #s(literal 500 binary64) (+.f64 x y))) (*.f64 (*.f64 y y) #s(literal 250000 binary64))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 62500000000 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -125000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125000000 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 62500000000 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 250000 binary64))) (*.f64 (*.f64 #s(literal -500 binary64) (+.f64 x y)) (*.f64 #s(literal -500 binary64) (+.f64 x y)))))) (fma.f64 y (*.f64 y #s(literal 250000 binary64)) (*.f64 (*.f64 x #s(literal -500 binary64)) (*.f64 #s(literal 500 binary64) (+.f64 x y))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -125000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125000000 binary64))) (fma.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal -125000000 binary64))) (*.f64 #s(literal -125000000 binary64) (*.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 15625000000000000 binary64))))) (fma.f64 (*.f64 (*.f64 y #s(literal -500 binary64)) (*.f64 #s(literal -500 binary64) (+.f64 x y))) (-.f64 (*.f64 (*.f64 y #s(literal -500 binary64)) (*.f64 #s(literal -500 binary64) (+.f64 x y))) (*.f64 x (*.f64 x #s(literal 250000 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 62500000000 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) #s(literal -125000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 125000000 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 62500000000 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal 250000 binary64)) (*.f64 (*.f64 #s(literal -500 binary64) (+.f64 x y)) (*.f64 #s(literal -500 binary64) (+.f64 x y)))))) (fma.f64 #s(literal 250000 binary64) (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 x (*.f64 y #s(literal -250000 binary64))))) |
Compiled 9 446 to 422 computations (95.5% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 446 | 0 | 446 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 1 | 1 |
| Total | 446 | 5 | 451 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) |
| ✓ | 100.0% | (fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
| ✓ | 100.0% | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| ✓ | 48.4% | #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
| ✓ | 52.5% | #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
Compiled 62 to 36 computations (41.9% saved)
| Inputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
(fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) |
| Outputs |
|---|
(fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) |
4 calls:
| 3.0ms | (-.f64 x y) |
| 2.0ms | y |
| 2.0ms | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 100.0% | 1 | (-.f64 x y) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
| Outputs |
|---|
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
4 calls:
| 4.0ms | y |
| 2.0ms | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 2.0ms | x |
| 2.0ms | (-.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 100.0% | 1 | (-.f64 x y) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| Outputs |
|---|
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
4 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 2.0ms | (-.f64 x y) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 100.0% | 1 | (-.f64 x y) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
| Outputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
#s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) |
4 calls:
| 3.0ms | y |
| 2.0ms | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 2.0ms | (-.f64 x y) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 3 | x |
| 76.9% | 3 | y |
| 60.1% | 4 | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 60.1% | 4 | (-.f64 x y) |
Compiled 18 to 12 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
| Outputs |
|---|
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
4 calls:
| 1.0ms | (-.f64 x y) |
| 1.0ms | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | (*.f64 #s(literal 500 binary64) (-.f64 x y)) |
| 52.5% | 1 | (-.f64 x y) |
| 52.5% | 1 | y |
| 52.5% | 1 | x |
Compiled 18 to 12 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.237330335327003e-80 | 2.759838750635017e-65 |
| 9.0ms | -1.923952876357209e+21 | -2504292865966961000.0 |
| 11.0ms | 283× | 0 | valid |
| 0.0ms | 4× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 262 to 190 computations (27.5% saved)
ival-mult: 2.0ms (50% of total)ival-sub: 2.0ms (50% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 61 |
| 1 | 26 | 61 |
| 2 | 31 | 61 |
| 3 | 33 | 61 |
| 4 | 34 | 61 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) |
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
(if (<=.f64 x #s(literal -18200000000000000000 binary64)) #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) (if (<=.f64 x #s(literal 4553130216154053/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)))) |
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
| Outputs |
|---|
(fma.f64 y #s(literal -500 binary64) (*.f64 #s(literal 500 binary64) x)) |
(fma.f64 x #s(literal 500 binary64) (*.f64 y #s(literal -500 binary64))) |
(*.f64 #s(literal 500 binary64) (-.f64 x y)) |
(if (<=.f64 x #s(literal -18200000000000000000 binary64)) #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) (if (<=.f64 x #s(literal 4553130216154053/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)))) |
(if (<=.f64 x #s(literal -18200000000000000000 binary64)) #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)) (if (<=.f64 x #s(literal 4553130216154053/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) #s(approx (* 500 (- x y)) (*.f64 #s(literal 500 binary64) x)))) |
#s(approx (* 500 (- x y)) (*.f64 #s(literal -500 binary64) y)) |
#s(approx (* 500 (- x y)) (*.f64 y #s(literal -500 binary64))) |
| 26 396× | lower-fma.f64 |
| 26 396× | lower-fma.f32 |
| 5 754× | lower-fma.f64 |
| 5 754× | lower-fma.f32 |
| 3 260× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 8 |
| 0 | 7 | 8 |
| 1 | 23 | 8 |
| 2 | 154 | 8 |
| 3 | 1501 | 8 |
| 0 | 9456 | 8 |
| 0 | 40 | 207 |
| 1 | 118 | 207 |
| 2 | 314 | 207 |
| 3 | 852 | 171 |
| 4 | 1749 | 171 |
| 5 | 2885 | 171 |
| 6 | 3977 | 171 |
| 7 | 4663 | 171 |
| 8 | 5012 | 171 |
| 9 | 5121 | 171 |
| 10 | 5833 | 171 |
| 11 | 7621 | 171 |
| 0 | 8087 | 171 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 84 to 44 computations (47.6% saved)
Compiled 100 to 42 computations (58% saved)
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